The volume of the first cube is (5h^2)^3, while the volume of the second cube is (3k)^3, so their total volume is (5h^2)^3 + (3k)^3. We can use the special formula for factoring a sum of two cubes:
x^3 + y^3 = (x + y)(x^2 - xy + y^2)
(5h^2)^3 + (3k)^3 = (5h^2 + 3k)((5h^2)^2 - (5h^2)(3k) + (3k)^2)
= (5h^2 + 3k)(25h^4 - 15(h^2)(k) + 9k^2)
This is the second of the given choices.
Answer: the lower limit is 1.555g and the upper limit is 1.564g
Step-by-step explanation:
a mg is:
1mg = 0.001g
Then we need to look at the third digit after the decimal point.
Then the weight 1.56g is rounded around this.
Remember that if the third digit after the decimal point is 5 or bigger, then we round up.
if the third digit is smaller than 5, then we round down.
Now, the maximum possible value of this weight is when the third digit is equal to 4 (4 mg) where because it is smaller than 5, we round it down to 1.56g
Then the maximum is 1.564g
And the minimum value is when we have:
w = 1.555g
Because the third digit is a 5, we round it up to 1.56g.
So the lower limit is 1.555g and the upper limit is 1.564g
Answer:
y = 80
Step-by-step explanation:
the angles of a triangle = 180. the top angle is 80 and the bottom is 20. 180 - 20 - 80 = 80
Option 1. If you have to pay $42 per person and you have 72 people to pay for you multiply 42X72= $3,024
It is more efficient to pay $500 per night
